CODE 104742 2022/2023 6 cfu anno 2 INGEGNERIA BIOMEDICA 8713 (L-8) - GENOVA 6 cfu anno 2 INGEGNERIA INFORMATICA 8719 (L-8) - GENOVA MAT/07 Italian GENOVA 1° Semester Questo insegnamento è un modulo di: AULAWEB

## AIMS AND CONTENT

### AIMS AND LEARNING OUTCOMES

Consistent with the lectures given by the teacher, the student is required to apprehend the concepts, mainly through the definitions and proofs of theorems. In addition the student has to manage the methods of calculus associated with the subjects developed in the course. The subjects involve: 1) differential and integral calculus for functions of several variables, line integrals and surface integrals. 2) Fourier series; proof and historical origin; calculus of Fourier coefficients of given functions. 3) functions of a complex variable; differentiable functions; Cauchy's integral formula, the fundamental theorem of algebra, residues, calcolus and applications.

### TEACHING METHODS

The lectures are developed on the blackboard by the teacher; particular emphasis is given to the presentation of concepts, the mathematical developments, and the applications.

### SYLLABUS/CONTENT

Line integrals, surface integrals, multiple integrals. Differentiation of functions of several variables and of composite functions. Differential operators. Fourier series: Fourier theorem, calculus of Fourier coefficientsof a given function, series for functions with a generic period, historical origin (heat equation) and method of separation of variables. Differential calculus for functions of a complex variable: Cauchy-Riemann conditions, Cauchy theorem, fundamental theorem of algebra, residues and applications to the computation of integrals of functions of a real variable.

Lecture notes provided by the teacher.

## LESSONS

### LESSONS START

https://corsi.unige.it/8719/p/studenti-orario

### Class schedule

The timetable for this course is available here: Portale EasyAcademy

## EXAMS

### EXAM DESCRIPTION

The exam consists of questions and answers in oral form. Students with learning disorders will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate, of the Engineering courses, in the committee for the Inclusion of Students with Disabilities.

### ASSESSMENT METHODS

The assessment is based on the comprehension of concepts, technical skill in mathematical developments, and skill in solving appropriate exercises.

### Exam schedule

Data Ora Luogo Degree type Note
10/01/2023 09:00 GENOVA Orale
24/01/2023 09:00 GENOVA Orale
07/02/2023 09:00 GENOVA Orale
06/06/2023 09:00 GENOVA Orale
20/06/2023 09:00 GENOVA Orale
04/07/2023 09:00 GENOVA Orale
25/07/2023 09:00 GENOVA Orale
05/09/2023 09:00 GENOVA Orale